3x+1=-4x+43

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Solution for 3x+1=-4x+43 equation:


Simplifying
3x + 1 = -4x + 43

Reorder the terms:
1 + 3x = -4x + 43

Reorder the terms:
1 + 3x = 43 + -4x

Solving
1 + 3x = 43 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
1 + 3x + 4x = 43 + -4x + 4x

Combine like terms: 3x + 4x = 7x
1 + 7x = 43 + -4x + 4x

Combine like terms: -4x + 4x = 0
1 + 7x = 43 + 0
1 + 7x = 43

Add '-1' to each side of the equation.
1 + -1 + 7x = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 43 + -1
7x = 43 + -1

Combine like terms: 43 + -1 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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